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    Cube Root of 58

    Cube Root Calculator
    Cube root of

    What is the cube root of 58?

    Answer

    ∛58 ≈
    3.8709

    Real cube root: the only number whose cube is 58.

    ≈ — rounded to 4 decimal places. 58 is not the cube of a rational number, so ∛58 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    58 = 2 × 29
    Take out of the root
    No prime appears three times, so ∛58 is already in simplest form.
    Between cubes
    3³ = 27 < 58 < 64 = 4³, so 3 < ∛58 < 4 and ∛58 ≈ 3.8709

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    https://calculat.io/en/number/cube-root/58Copy
    <a href="https://calculat.io/en/number/cube-root/58">Cube Root of 58 (∛58): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 58 (∛58): Exact Value and Decimal. ∛58 ≈ 3.8709. 58 has no cube factor but 1, so ∛58 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/58/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    55≈ 3.803
    562∛7 ≈ 3.8259
    57≈ 3.8485
    58≈ 3.8709
    59≈ 3.893
    60≈ 3.9149
    61≈ 3.9365
    Recalculate with different values ↑

    FAQ

    What is the cube root of 58?

    ∛58 ≈ 3.8709

    Can ∛58 be simplified?

    No: no prime appears three times in 58, so its only cube factor is 1 and ∛58 is already in simplest form. Since 3³ = 27 < 58 < 64 = 4³, ∛58 lies between 3 and 4: ∛58 ≈ 3.8709.

    Is ∛58 a rational number?

    No: 58 is not the cube of a rational number, and the cube root of a fraction p/q in lowest terms is rational only when p and q are both cubes. So ∛58 is irrational; its decimal never ends and never repeats: ∛58 ≈ 3.8709.

    See Also